Abstract
In this paper we establish a connection between Jacobi forms over a totally real field $k=\mathbb{Q}(\zeta+\zeta^{-1}) $, $\zeta=e^{2 \pi i/p}$, and codes over the field ${\mathbb F}_p$. In particular, we derive a theta series, which is a Jacobi form, from the complete weight enumerator or the Lee weight enumerator of a self-dual code over ${\mathbb F}_p$.
Citation
Youngju Choie. Eunkyung Jeong. "Jacobi forms over totally real fields and codes over ${\mathbb F}_p$." Illinois J. Math. 46 (2) 627 - 643, Summer 2002. https://doi.org/10.1215/ijm/1258136214
Information